A university has admitted a group of n students with varying skill levels. To better accommodate the students, the university has decided to create classes tailored to the skill levels. A placement examination will return a skill level that will be used to group the students, where levels[i] represents the skill level of student i. All students within a group must have a skill level within max Spread, a specified range of one another. Determine the minimum number of classes that must be formed

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The number of classes that must be formed in a university which has admitted a group of n students with varying skill levels ranges from 0 to 10⁹.

What is class grouping?

The class grouping is to divide the elements into the groups which has the common properties and behavior.

A university has admitted a group of n students with varying skill levels.  To better accommodate the students, the university has decided to create classes tailored to the skill levels.

  • A placement examination will return a skill level that will be used to group the students, where levels represent the skill level of student i.
  • All students within a group must have a skill level within max Spread, a specified range of one another.

In this problem of class grouping, the input value is the skill level of every student and the output is a minimum number of classes can be formed.

For the n number of students, which ranges from 1 to 10⁵,

[tex]1\le \text {n (student)}\le 10^5\\1\le \text {level[i]}\le 10^9\\0\le \text {max Spread}\le 10^9[/tex]

Here, max spread maximum permitted skill difference between any two members of the class.

Thus, the number of classes that must be formed in a university which has admitted a group of n students with varying skill levels ranges from 0 to 10⁹.



Learn more about the class grouping here;

https://brainly.com/question/15077018

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